1 |
Study Plan |
Study plan – Year 12 Applied 8: Statistics and Working with Data |
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision. |
2 |
Percentages |
Changing percentages to fractions and decimals |
Objective: On completion of the lesson the student will be able to change percentages to fractions and know how to change percentages to decimals. |
3 |
Percentages |
One quantity as a percentage of another |
Objective: On completion of the lesson the student will be able to find a percentage of an amount and how to express one quantity as a percentage of another. |
4 |
Lines and angles |
Mapping and grid references |
Objective: On completion of the lesson the student will be able to identify specific places on a map and use regions on a grid to locate objects or places. |
5 |
Lines and angles |
Informal coordinate system |
Objective: On completion of the lesson the student will be able to use an informal coordinate system to specify location, and locate coordinate points on grid paper. |
6 |
Data |
Pictograms |
Objective: On completion of the lesson the student will be able to organise, read and summarise information in picture graphs. |
7 |
Data |
Bar Charts |
Objective: On completion of the lesson the student will be able to organise, read and summarise information in column graphs. |
8 |
Data |
Line graphs. |
Objective: On completion of the lesson the student will be able to organise, read and summarise information in line graphs. |
9 |
Data |
Pie and bar graphs. |
Objective: On completion of the lesson the student will be able to organise, read and summarise information in pie and bar graphs. |
10 |
Statistics |
Frequency distribution table |
Objective: On completion of the lesson the student will be able to construct a frequency distribution table for raw data and interpret the table. |
11 |
Statistics |
Frequency histograms and polygons |
Objective: On completion of the lesson the student will be able to construct and interpret frequency histograms and polygons. |
12 |
Statistics |
Relative frequency |
Objective: On completion of the lesson the student will be able to collect, display and make judgements about data. |
13 |
Statistics |
The range. |
Objective: On completion of the lesson the student will be able to determine the range of data in either raw form or in a frequency distribution table. |
14 |
Statistic-probability |
The mode |
Objective: On completion of the lesson the student will understand how to find the mode from raw data, a frequency distribution table and polygon. |
15 |
Statistic-probability |
The mean |
Objective: On completion of the lesson the student will be able to calculate means from raw data and from a frequency table using an fx column. |
16 |
Statistic-probability |
The median |
Objective: On completion of the lesson the student will be able to determine the median of a set of raw scores |
17 |
Statistic-probability |
Cumulative frequency |
Objective: On completion of the lesson the student will be able to construct cumulative frequency columns, histograms and polygons. |
18 |
Statistic-probability |
Calculating the median from a frequency distribution |
Objective: On completion of the lesson the student will be able to determine the median from a cumulative frequency polygon. |
19 |
Statistics – grouped data |
Calculating mean, mode and median from grouped data |
Objective: On completion of the lesson the student will be capable of identifying class centres, get frequency counts and determine the mean and mode values. |
20 |
Statistics using a calculator |
Statistics and the student calculator |
Objective: On completion of the lesson the student will be capable of using a scientific calculator in statistics mode to calculate answers to statistical problems. |
21 |
Statistics – Range and dispersion |
Range as a measure of dispersion |
Objective: On completion of the lesson the student will be able to determine the range and using it in decision making. |
22 |
Statistics – Spread |
Measures of spread |
Objective: On completion of the lesson the student will be able to find the standard deviation, using a data set or a frequency distribution table and calculator. |
23 |
Statistics – Standard deviation |
Standard deviation applications |
Objective: On completion of the lesson the student will be able to use standard deviation as a measure of deviation from a mean. |
24 |
Statistics – Interquartile range |
Measures of spread: the interquartile range |
Objective: On completion of the lesson the student will be able to find the upper and lower quartiles and the interquartile range |
25 |
Statistics |
Stem and Leaf Plots along with Box and Whisker Plots |
Objective: On completion of the lesson the student will be familiar with vocabulary for statistics including quartiles, mode, median, range and the representation of this information on a Box and Whisker Plot. |
26 |
Statistics |
Scatter Diagrams |
Objective: On completion of the lesson the student will be able to construct scatter plots and draw conclusions from these. |
27 |
Coordinate Geometry-gradient |
Gradient |
Objective: On completion of the lesson the student will be able to calculate the gradient of a line given its inclination, or angle to the positive direction of the x-axis; or its rise and run. |
28 |
Coordinate Geometry-gradient |
Gradient formula. |
Objective: On completion of the lesson the student will be able to calculate the gradient of a line given any two points on the line and also be capable of checking whether 3 or more points lie on the same line and what an unknown point will make to parallel lines. |
29 |
Coordinate Geometry-straight line |
The straight line. |
Objective: On completion of the lesson the student will be able to draw a line which is parallel to either axis and comment on its gradient, where that gradient exists. |
30 |
Coordinate Geometry-equation of line |
General form of a line and the x and y Intercepts. |
Objective: On completion of the lesson the student will be able to change the equation of a straight line from the form, written as y=mx+c, into the general form and vice versa. |
31 |
Coordinate Geometry-intercept |
Slope intercept form of a line. |
Objective: On completion of the lesson the student will be able to find the slope and intercept given the equation and given the slope and intercept, derive the equation. |
32 |
Coordinate Geometry-point slope |
Point slope form of a line |
Objective: On completion of the lesson the student will understand how to derive the equation of a straight line given the gradient and a point on the line. |
33 |
Co-ordinate Geometry-Two point formula |
Two point formula: equation of a line which joins a pair of points. |
Objective: On completion of the lesson the student will be able to calculate the equation of a line given any two named points on the line. |
34 |
Exam |
Exam – Year 12 Applied 8: Statistics and Working with Data |
Objective: Exam |